{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## _*H2 plot with different basis sets used*_\n",
    "\n",
    "This notebook demonstrates using Qiskit Nature to plot graphs of the ground state energy of the Hydrogen (H2) molecule over a range of inter-atomic distances in different basis sets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pylab\n",
    "\n",
    "from qiskit_nature.second_q.drivers import PySCFDriver\n",
    "from qiskit_nature.second_q.formats import MoleculeInfo\n",
    "from qiskit_nature.second_q.mappers import JordanWignerMapper\n",
    "from qiskit_nature.second_q.algorithms import GroundStateEigensolver\n",
    "\n",
    "from qiskit_algorithms import NumPyMinimumEigensolver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_energies(basis, distances):\n",
    "    energies = []\n",
    "\n",
    "    for d in distances:\n",
    "        info = MoleculeInfo([\"H\", \"H\"], [(0.0, 0.0, 0.0), (0.0, 0.0, d)])\n",
    "        driver = PySCFDriver.from_molecule(info, basis=basis)\n",
    "        molecule = driver.run()\n",
    "        mapper = JordanWignerMapper()\n",
    "\n",
    "        algo = NumPyMinimumEigensolver()\n",
    "        algo.filter_criterion = molecule.get_default_filter_criterion()\n",
    "        solver = GroundStateEigensolver(mapper, algo)\n",
    "        result = solver.solve(molecule)\n",
    "        energies.append(result.total_energies[0])\n",
    "\n",
    "    return energies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f89c526ba60>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "basis_sets = ['sto-3g', '3-21g', '6-31g']\n",
    "distances  = [0.5 + 0.025*x  for x in range(0, 20)]\n",
    "\n",
    "for b in basis_sets:\n",
    "    pylab.plot(distances, compute_energies(b, distances), label=b)\n",
    "\n",
    "pylab.xlabel('Interatomic distance (A)')\n",
    "pylab.ylabel('Energy (Ha)')\n",
    "pylab.title('H2 Ground State Energy in different basis sets')\n",
    "pylab.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "qiskit==1.1.0\n",
      "qiskit-aer==0.14.2\n",
      "qiskit-algorithms==0.3.0\n",
      "qiskit-ibm-runtime==0.25.0\n",
      "qiskit-machine-learning==0.7.2\n",
      "qiskit-nature==0.7.2\n",
      "qiskit-nature-pyscf==0.4.0\n",
      "qiskit-qasm3-import==0.5.0\n",
      "qiskit-transpiler-service==0.4.5\n"
     ]
    }
   ],
   "source": [
    "! pip freeze | grep qiskit"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
